Constructive holography

Autor: Robert de Mello Koch, Hendrik J. R. Van Zyl
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 9, Pp 1-28 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP09(2024)022
Popis: Abstract We consider the collective field theory description of the singlet sector of a free and massless matrix field in d dimensions. The k-local collective fields are functions of (d − 1)k + 1 coordinates. We provide a map between the collective fields and fields in the dual gravitational theory defined on AdS d+1 spacetime. The coordinates of the collective field have a natural interpretation: the k-local collective field is a field defined on an AdS d+1×S k−1×S(d−2)(k−2)×S d−3 spacetime. The modes of a harmonic expansion on the S k−1×S(d−2)(k−2)×S d−3 portion of the spacetime leads to the spinning bulk fields of the dual gravity theory.
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